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Finding the Fourth Proportional to 10,294.32, 15,419.94 and 8,535.18

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Solution

The fourth proportional to 10,294.32, 15,419.94 and 8,535.18 is: 12,784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.32 : 15,419.94 = 8,535.18 : x
  2. Step 2: Convert to fraction form
    10,294.32/15,419.94 = 8,535.18/x
  3. Step 3: Cross multiply
    10,294.32x = 15,419.94 × 8,535.18
  4. Step 4: Simplify right side
    10,294.32x = 131,611,963.49
  5. Step 5: Solve for x
    x = 131,611,963.49/10,294.32
  6. Step 6: Final answer
    x = 12,784.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.